Results 31 to 40 of about 1,334 (223)
Fredholm modules over categories, Connes periodicity and classes in cyclic cohomology
Comptes Rendus. Mathématique, 2023 We replace a ring with a small $\mathbb{C}$-linear category $\mathcal{C}$, seen as a ring with several objects in the sense of Mitchell. We introduce Fredholm modules over this category and construct a Chern character taking values in the cyclic ...
Balodi, Mamta, Banerjee, Abhishek
doaj +1 more source
The supersingular Endomorphism Ring and One Endomorphism problems are equivalent [PDF]
, 2023 Le problème Anneau des endomorphismes supersingulier est le suivant : étant donnée une courbe elliptique supersingulière, calculer tous ses endomorphismes. La difficulté supposée de ce problème est une fondation de la cryptographie à base d'isogénies. Le
PAGE, Aurel, WESOLOWSKI, Benjamin
core
Completely simple endomorphism rings of modules
Applied General Topology, 2018 It is proved that if Ap is a countable elementary abelian p-group, then: (i) The ring End (Ap) does not admit a nondiscrete locally compact ring topology.
Victor Bovdi +2 more
doaj +1 more source
On the Monoid of Unital Endomorphisms of a Boolean Ring
Axioms, 2021 Let X be a nonempty set and P(X) the power set of X. The aim of this paper is to provide an explicit description of the monoid End1P(X)(P(X)) of unital ring endomorphisms of the Boolean ring P(X) and the automorphism group Aut(P(X)) when X is finite ...
Bana Al Subaiei, Noômen Jarboui
doaj +1 more source
An extension of the reflexive property of rings
Arab Journal of Mathematical Sciences, 2019 Mason introduced the notion of reflexive property of rings as a generalization of reduced rings. For a ring endomorphism α, Krempa studied α-rigid rings as an extension of reduced rings. In this note, we introduce the notion of α-quasi reflexive rings as
Arnab Bhattacharjee
doaj +1 more source
A trade-off between classical and quantum circuit size for an attack against CSIDH
Journal of Mathematical Cryptology, 2020 We propose a heuristic algorithm to solve the underlying hard problem of the CSIDH cryptosystem (and other isogeny-based cryptosystems using elliptic curves with endomorphism ring isomorphic to an imaginary quadratic order 𝒪).
Biasse Jean-François +4 more
doaj +1 more source
Ring of Endomorphisms and Modules over a Ring
Formalized Mathematics, 2022 Summary We formalize in the Mizar system [3], [4] some basic properties on left module over a ring such as constructing a module via a ring of endomorphism of an abelian group and the set of all homomorphisms of modules form a module [1] along with Ch. 2 set. 1 of [2].
openaire +2 more sources
Every semiprimary ring is the endomorphism ring of a projective module over a quasi-hereditary ring [PDF]
, 1989 Dlab V, Ringel CM. Every semiprimary ring is the endomorphism ring of a projective module over a quasi-hereditary ring. Proceedings of the American Mathematical Society.
Dlab, Vlastimil, Ringel, Claus Michael
core +2 more sources
Endomorphisms and Product Bases of the Baer-Specker Group
International Journal of Mathematics and Mathematical Sciences, 2009 The endomorphism ring of the group of all sequences of integers, the Baer-Specker group, is isomorphic to the ring of row finite infinite matrices over the integers.
E. F. Cornelius
doaj +1 more source
Global dimension of the endomorphism ring and *n-modules [PDF]
, 2005 We show that, if T is a selfsmall and selforthogonal module over a noetherian ring R of finite global dimension with the endomorphism ring A, then fdTA⩽gdA⩽idRT+fdTA. Applying the result we give answers to two questions left in [J. Wei et al., J. Algebra
Jiaqun Wei, Wei, Jiaqun
core +1 more source